Lie superalgebras and Poisson-Lie supergroups

DOI10.1007/BF02941339zbMath0807.17012OpenAlexW2090532792MaRDI QIDQ1313457

Nicolás Andruskiewitsch

Publication date: 5 March 1995

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02941339

zbMATH Keywords

Lie superalgebrasLie bialgebrasManin triplesclassical Yang-Baxter equationsPoisson-Lie supergroupsquantization of Poisson supermanifolds

Mathematics Subject Classification ID

Related Items (15)

Lie superbialgebra structures on the Lie superalgebra C3+A and deformation of related integrable Hamiltonian systems ⋮ Etingof-Kazhdan quantization of Lie superbialgebras ⋮ Super Poisson-Lie structure on \(\text{SU}(mn)\) via \(\text{SL}(m|n, \mathbb C)^{\mathbb R}\) ⋮ Classical \(r\)-matrices of two- and three-dimensional Lie superbialgebras and their Poisson-Lie supergroups ⋮ Yang-Baxter deformation of WZW model based on Lie supergroups: the cases of \(GL(1|1)\) and \((C^3 + A)\) ⋮ Some remarks on quantized Lie superalgebras of classical type ⋮ On Hom-Lie superbialgebras ⋮ Classical r-matrices for the osp(2/2) Lie superalgebra ⋮ Drinfel'd Twist Deformations of the Super-Virasoro Algebras ⋮ OPERATOR FORMS OF THE CLASSICAL YANG–BAXTER EQUATION IN LIE SUPERALGEBRAS ⋮ String cosmology from Poisson-Lie T-dual sigma models on supermanifolds ⋮ Classification of low-dimensional Lie super-bialgebras ⋮ Drinfel’d superdoubles and Poisson–Lie T-plurality in low dimensions ⋮ Classification of two and three dimensional Lie superbialgebras ⋮ Classification of four and six dimensional Drinfel’d superdoubles

Cites Work

• An explicit *-product on the cotangent bundle of a Lie group
• On the defining relations of quantum superalgebras
• Quantized universal enveloping superalgebra of type \(Q\) and a super- extension of the Hecke algebra
• Cohomology of Lie superalgebras
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